Question

if tan + 1/tan= 2 so, Find the value of tan²+1/tan²​

Answer 1

Answer:

${tan}^{2} + \frac{1}{ {tan}^{2} } = 2$

Step-by-step explanation:

$tan + \frac{1}{tan} = 2 \\ squaring \: on \: both \: the \: sides \\ {(tan + \frac{1}{tan} )}^{2} = {(2)}^{2} \\ {(tan)}^{2} + + 2(tan)( \frac{1}{tan} ) + {( \frac{1}{tan} )}^{2} = 4 \\ {tan}^{2} + 2 + \frac{1}{ {tan}^{2} } = 4 \\ {tan}^{2} + \frac{1}{ {tan}^{2} } = 4 - 2 \\ {tan}^{2} + \frac{1}{ {tan}^{2} } = 2$